Answer:
Given,
Annual demand, D = 12500,
Setting up cost, S = $ 49,
Production rate per year, P = production facility × capability of production = 300 × 105 = 31500,
Holding cost per year, H = $ 0.15,
Hence,
(i) Optimal size of the production run,
(ii) Average holding cost per year,
(iii) Average setup cost per year,
(iv) Total cost per year = average setup cost per year + average holding cost per year + cost to purchase 12500 lights
= 166.44 + 166.48 + 12500(0.95)
= $ 12207.92